Multiple Choice: ( select the most correct response ) Assume a task has the foll
ID: 2748434 • Letter: M
Question
Multiple Choice: ( select the most correct response )
Assume a task has the following times: a = 10, m = 25, and b = 40. Its ex-
pected time is:
a.10
b.25
c.40
d.30
e.none of the above.
The critical path of a network is the:
a.shortest time path through the network.
b.path with the fewest activities.
c.path with the most activities.
d.longest time path through the network.
e.none of the above.
Given the following activity’s optimistic, most likely, and pessimistic time es-
timates of 2, 10, and 20 days respectively, compute the PERT variance for this activity:
a.3
b.6
c.9
d.18
e.none of the above.
Managers use the network analysis of PERT and CPM to help them:
a.derive flexibility by identifying noncritical activities.
b.replan, reschedule, and reallocate resources such as manpower and finances.
c.plan, schedule, monitor, and control large and complex projects.
d.all of the above.
-2-
In an activity-on-node (AON) network, the nodes represent______whereas
the arcs represent _________.
a.activities; time
b.activities; precedence relationships
c.events; activities
d.precedence relationships; time
Given a task’s optimistic, most likely, and pessimistic time estimates of 3,5, and 15 days , respectively, compute the standard deviation for this task.
2
4
5
15
Slack time in a network is the:
time a task takes, assuming unfavorable conditions.
shortest time required to complete a task.
time you would expect to complete the task.
the time a task can be delayed without delaying the entire project.
A project has an expected completion time of 60 weeks and a standard deviation of 5 weeks. What is the probability that the project is finished in 70 weeks or less?
0.98
0.48
0.50
0.82
Your firm is considering submitting a bid on a major project. You determine expected completion time is 100 weeks, and the standard deviation is 10 weeks. You desire to set the due date for the project, such that there is an 85% chance that the project will be finished by this time. What due date should be set?
108.0
110.4
89.6
85.0
Explanation / Answer
Answers:
1.
Expected time is given as : (a+4m+b)/6 thus (10+(25*4)+40)/6=(10+100+40)/6 =150/6 =25 (ans)
2. Critical path is the Longest time path through the network. All other activities shall be completed parallely if the longest path is chosen.
3. The Variance in PERT is given as:- ((b-a)/6)^2 thus Given a=2 b=20 => (b-a)=(20-2)=18:
Therefore (b-a)/6= 18/6=3
Thus the variance is given as:- ((b-a)/6)^2 =(18/6)^2 =3^2= 9 (ans)
4. Managers use PERT CPM for all the above activities.
Thanks!
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